Study Goal: This study aims to find out if treating obstructive sleep apnea (OSA) with a special machine called positive airway pressure can help people who had an ischemic stroke. Ischemic stroke is a type of stroke where blood flow to the brain is blocked. The study wants to see if using this treatment soon after a stroke can prevent more strokes and heart problems, and improve recovery.

Study Design: 3062 participants will take part in this study for 6 months. They will be randomly assigned to get either the special OSA treatment or usual care. This study is happening in many places and will go on for 5 years.

Eligibility: To join, you must have had an ischemic stroke within the last 7 days and be able to do basic tasks. You cannot join if you have certain medical conditions, are pregnant, or are in jail.

• Duration: 6 months.
• Visits: Participation involves regular check-ins at study centers.
• Risks: Some risks from using positive airway pressure may occur.